Write the number 100 as a product of its prime factors in the same way,
Write the factors in order, from smallest to largest.

Answer: 1/7

Step-by-step explanation: Find the GCD (Greatest Common Denominator) of the numerator and denominator. The GCD of 22 and 154 is 22. Divide both the numerator and denominator by the GCD = 22 ÷ 22; 154 ÷ 22. Reduced fraction: 1/7. Therefore, 22/154 simplified to lowest terms is 1/7.

The school is 24.63 meters tall.

To calculate the height of the school, Elijah can use the concept of similar triangles. Since the mirror is on the ground and parallel to it, the angle between the ground and the line from his eyes to the mirror is 90 degrees. The angle between the ground and the line from his eyes to the top of the school is also 90 degrees. The triangle formed by these lines and the line from his eyes to the top of the school is similar to the triangle formed by these lines and the line from his eyes to the mirror.

Using the similar triangles, the ratio of the height of the school to the distance from Elijah's eyes to the mirror is equal to the ratio of the distance from Elijah's eyes to the ground to the distance from the mirror to the school.

Therefore

(Height of school) / (Distance from eyes to mirror) = (Distance from eyes to ground) / (Distance from mirror to school)

Plug in the given values:

(Height of school) / 0.8 = 1.45 / (8.25 - 0.8)

Solving for the height of the school:

Height of school = (0.8 * 1.45) / (8.25 - 0.8)

= 1.16 / 7.45

= 0.1562

= 24.63 meters

The school is 24.63 meters tall.

Learn more about Distance

https://brainly.com/question/26550516

#SPJ4

According to the given bar chart options A, B and C are the correct.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

Given that, the bar chart shows the relative frequencies of students from grades 6 to 12 who participate in the community service activity.

Relative Frequency = Subgroup frequency/ Total frequency.

Relative Frequency = f/ n.

From the given bar chart we can see that

The maximum number of participating students was in grade 9.

The number of participating students in grade 6 was equal to the number of participating students in grade 7.

The relative frequency of all participating students in grades 6 and 7 combined was 0.60.  

Therefore, options A, B and C are the correct answers.

To learn more about the relative frequency visit:

brainly.com/question/13193436.

#SPJ4

Complete question is in attachment:

Option D is correct, there are 16 possibilities are in the sample space at the end of the tree diagram

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Cornelio creates a tree diagram to show all possibilities for flipping a coin four times

We need to find the number of  possibilities are in the sample space at the end of the tree diagram

The number of times coin is flipped=4

We can use 2ⁿ to figure out the number of possible outcomes where n is the number of tosses.

Now n=4, so the number of possibilities are 2⁴

2×2×2×2

16

Hence, option D is correct, there are 16 possibilities are in the sample space at the end of the tree diagram

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Answer:

aaaaaaaaa x=3-2y

Answer:

7x = 6

Step-by-step explanation:

  2x - 3y = 10

+ 5x + 3y = -4

------------------------

  7x         = 6

9514 1404 393

Answer:

  666 ft

Step-by-step explanation:

The circumference of the wheel is given by the formula ...

  C = 2πr

For a radius of 106 ft, the circumference is ...

  C = 2(3.14)(106 ft) = 665.68 ft

Sabrina traveled about 666 feet in one revolution.

Solving for W in the equation 4 = (2 + W) / 2 gives W = 6

Using the equation 4 = (2 + W) / 2, W is solved by making it the subject of the formula and this is means placing W alone at the left hand side of the equation'

This is achieved by the following procedure

clearing the fraction

4 = (2 + W) / 2,

8 = 2 + W

rearranging the equation

W + 2 = 8

subtracting 2 from both sides of the equation

W + 2 - 2 = 8 - 2

since 2 - 2 = 0 we have

W = 6

Learn more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

Answer: 0.125 cm^3

Answer:

y = 2x + 1

Step-by-step explanation:

[tex]\frac{5-3}{-3-1}[/tex] = [tex]\frac{2}{-4}[/tex] = [tex]\frac{1}{-2}[/tex]

Perpendicular slopes are the opposite reciprocals .  So the slope of the line will be 2

slope (m) = 2

y = 3  You could use either point given.  I chose (1,3)

x = 1    From the point given (1,3)

y = mx + b  substitute in what you know and solve for b

3 = (2)(1) + b

3 = 2 + b   Subtract 2 from both sides

1 = b

The y-intercept is 1.

y = mx + b

y = 2x + 1

Answer:

use calculator

Step-by-step explanation:

Answer:

-21 i think

Step-by-step explanation:

Between -10 and -16 has to be -13, because -13 is three apart from -10, and three apart from -16. That means that the numbers decrease by 3. So, the number line would be:

-10

-13

-16

-19

-21

Hope this helps!

Answer:

Answer 1

Step-by-step explanation:

Sorry I'm very busy so no step by step

Answer:

2, 6

Step-by-step explanation:

x always go first

Answer:

Step-by-step explanation:

-1 divided by x

1 - x

X - 1

Answer:

definitely equation B

steps:

multiply 12 by the hours, and add 15. for each part, it will equal the total charge. 12*2+15 and so on. hope this helps

Answer: 3 grams

Step-by-step explanation:

I just looked up the answer lol- I tried though, (Also I can't guarantee if it's right... But it probably is).

Answer:

  (-2, 2)

Step-by-step explanation:

You want the circumcenter of the triangle with vertices A(2, -3), B(2, 7), and C(-6, -3).

The circumcenter is the center of  the circle that circumscribes the triangle. Here, the triangle is a right triangle, so the circumcenter is the midpoint of the hypotenuse.

The midpoint of segment BC is the average of the coordinates of B and C:

  X = (B +C)/2 = ((2, 7) +(-6, -3))/2 = (2 -6, 7 -3)/2 = (-4, 4)/2

  X = (-2, 2)

The circumcenter is (-2, 2).

__

Additional comment

The right angle subtends an arc of twice its measure, 180°, so the circumscribed triangle occupies a semicircle, and the hypotenuse is a diameter. That puts the center of the circle at the midpoint of the hypotenuse.

Therefore Because of this, the square root is 2 is "irrational" (cannot be written as a fraction) since, if it were, the result would be absurd.

A mathematical concept known as a square root is indeed a factor of a number that, when multiplied on its own, equal the original value. For instance, 3 and -3 are the cube roots of 9. Starting in the second millennium BC, the Babylonians created effective methods for approximating square roots.

Here,

In this case, The square root of 2 is "irrational" (cannot be expressed in a fraction) because, if It Could,

You Would Have the Nonsensical Situation That The Fraction Would Have Even Integer value

At Both The Top And Bottom And Could Therefore Always Be Simplified.

.

Therefore Because of this, the square root is 2 is "irrational" (cannot be written as a fraction) since, if it were, the result would be absurd.

To know more about square root visit :-

brainly.com/question/29286039

#SPJ1

No, an isosceles triangle is not always 60 degrees. The angles of an isosceles triangle must be equal, but the overall measure of the angles can be any value greater than 0 degrees.

A triangle having two equal sides and two equal angles is known as an isosceles triangle.. The equal sides create two equal angles that are opposite each other. The two equal angles are the only two angles that define an isosceles triangle. There is no specific measure for the angles of an isosceles triangle, so the angles do not necessarily have to be 60 degrees and The angles can be any value greater than 0 degrees. The two equal angles, however, must be equal in measure to make the triangle an isosceles triangle. Therefore, an isosceles triangle is not always 60 degrees.

Learn more about isosceles triangle here

https://brainly.com/question/2456591

#SPJ4

Probability of Two people was born on Friday = 1/49

Possibility of happening an event is called probability. It is given by the ratio of favorable outcome to the total possible outcome. Probability is different kinds such as independent probability, dependent probability, conditional probability and so on.

Assume that birthdays are equally distributed throughout the week.

probability of one people having birthday on Friday = 1/ 7

probability of another people has birthday on Friday = 1/7

probability of two people was born on Friday = 1/7× 1/7 = 1/ 49

To learn more about probability visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

A

Step-by-step explanation:

Side A which is 4 is an angle of 41.40

Side B which is 5 is an angle of 55.7

Side C which is 6 is an angle of 82.8

Answer:

Step-by-step explanation:

No he's going to have to try this one again.

The y intercept is found by making x = 0

The original equation becomes

2y - 120 = 0             Add 120 to both sides

2y = 120                  Divide by 2

y = 120/2

y = 60

The y intercept is 60

Answer:

Step-by-step explanation:

it B.

just put in the calculator and it gives  you the reduced fraction

Answer:

B. 3/4

Step-by-step explanation:

Find the GCD (or HCF) of the numerator and denominator

GCD of 15 and 20 is 5

Next, divide both the numerator and denominator by the GCD

15 ÷ 5 = 3

20 ÷ 5 = 4

Finally, put them back into a fraction

[tex]\frac{3}{4}[/tex]

Therefore, 15/20 simplified to the lowest terms is 3/4.

The provided schematic must be followed in order to answer these diamond problems. You must multiply the values on the left (x) and right (y) cells in order to find the value that belongs in the top cell.

we have,

For Diamond Problems a

x+y=1.2

xy=.32

so value of x= .8 and y = .4.

for Diamond Problems b

x= 11

x+y=25.

so y= 14 and xy=11*14=154.

for Diamond Problems c

x=-7

y=-9

so x+y=-16 and xy= 63.

for Diamond Problems d

x+y=31

xy=234

x=13 and y=18

Because puzzles engage both the left and right sides of your brain, solving them aids in the development of your problem-solving abilities. Solving puzzles with others is a terrific method to improve your communication and cooperation skills in addition to your problem-solving and critical thinking abilities.

To know more about  Diamond Problems visit:-

https://brainly.com/question/29022455

#SPJ1

Answer:

Step-by-step explanation:

V = l * w * h

27000ft3 = (2w) * w * 10ft

27000ft3 = 2w^2 * 10ft

2700 = 2w^2

1350 = w^2

W = 36.74

The three ways of finding the x-intercept are:

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

To learn more about intercept :

https://brainly.com/question/24990033

#SPJ4

Answer:

Step-by-step explanation:

Back

Area = L * W

L = 20

W = 8

Area = 20 * 8

Area =                                                                       160

2 Triangles

Area = 1/2 one smaller leg*other smaller leg

one smaller leg = 8

The other one = 15

Area = 1/2 8 * 15  =     60

But there are 2 of them 2 * 60 =                            120

Base

L =  20

W = 15

Area = L * W

Area = 20*15 =                                                        300

Front (slanted) Face

L = 20

W = 17

Area = L * W

Area =  20*17                                                         340

Total                                                                        920

The area of the windflower garden that is enclosed by a circular fence of 400 yards length is equal to 12732.39 square yards.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's border. It is the length around the border of the circular object or the circle itself.

The formula for calculating the perimeter of a circle is ,

Perimeter/ Circumference of a circle = 2 * pi * r, where pi = 3.14 and r is the radius of the circle.

Taking the given information in the question, i.e circumference of the circular fencing wire , i.e C = 400 yards

                                         or , 2 * pi * r = 400

                                         or , r = 400/(2* 3.14)

                                                 r = 63.66 yards

Now the area of the circular fence is given by,

Area = pi * r^2

Area = 3.14 * 63.66^2

Area = 12732.39 square yards

To learn more about circumference visit:

https://brainly.com/question/28757341

#SPJ4